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Overlap is calculated...Average duration (intake + exhaust duration divided by 2) minus LSA (lobe separation angle) times two. I'm sure the LS2 cam has major negative overlap. Any cam GM put in a production automobile in the last 20 years has negative overlap. Not knowing the LS2 cam specs, I can't calculate it for you.
I honestly don't know of a cam that will pass smog, you're going to have to get in touch with the likes of BTR, TSP, Pat G on this forum and other people/places that know quite a bit about cams. If I had to guess, every factory cam will pass smog including the LS9 cam but the gains/$ really aren't worth it there. You could go with a supercharger setup that will pass smog, but then you're looking at roughly 3-5 thousand dollars more for a much more substantial gain (think 100-200hp vs a cam that'll net 20-30hp in your instance) and never have to worry about passing smog.
I'm over here in Germany and I would need to make damn sure this cam would pass emissions. Imagine spending all this money and effort only to hear from the authorities over here that it cannot pass. What cam options do we have for blown motors (positive displacement superchargers) if we want to fulfill SMOG / California emissions regs?
Or if you are intent on changing it since you will be supercharged, look for a cam with an LSA around 117 degrees (no less than 117). And if you want the valve springs to last a long time, keep the lift below .600"